Finding the Third Proportional to 41,740 and 90,032

Step by Step Solution

1. Step 1: Write the proportion equation
   41,740 : 90,032 = 90,032 : x
2. Step 2: Convert to fraction form
   41,740/90,032 = 90,032/x
3. Step 3: Cross multiply
   41,740x = 90,032 × 90,032
4. Step 4: Simplify right side
   41,740x = 8,105,761,024
5. Step 5: Solve for x
   x = 8,105,761,024/41,740
6. Step 6: Final answer
   x = 194,196.48